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Finding the Third Proportional to 152,227.75 and 344,301.75

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Solution

The third proportional to 152,227.75 and 344,301.75 is: 778,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,227.75 : 344,301.75 = 344,301.75 : x
  2. Step 2: Convert to fraction form
    152,227.75/344,301.75 = 344,301.75/x
  3. Step 3: Cross multiply
    152,227.75x = 344,301.75 × 344,301.75
  4. Step 4: Simplify right side
    152,227.75x = 118,543,695,053.06
  5. Step 5: Solve for x
    x = 118,543,695,053.06/152,227.75
  6. Step 6: Final answer
    x = 778,725.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.